{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:HK2HUDB765Z56IKOV3SVM7AP4O","short_pith_number":"pith:HK2HUDB7","canonical_record":{"source":{"id":"1205.7043","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-31T17:01:23Z","cross_cats_sorted":[],"title_canon_sha256":"0d017096d5134206b7395e22b5845b5d9707db97aabcf9f35f07621fa3881507","abstract_canon_sha256":"0ea77539ad4bda793cffbce43eeebfda9ef5c71ad46df0e7583149b0052f520e"},"schema_version":"1.0"},"canonical_sha256":"3ab47a0c3ff773df214eaee5567c0fe3be836667b7cb4a22d2810dfaa503f872","source":{"kind":"arxiv","id":"1205.7043","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.7043","created_at":"2026-05-18T03:54:28Z"},{"alias_kind":"arxiv_version","alias_value":"1205.7043v1","created_at":"2026-05-18T03:54:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.7043","created_at":"2026-05-18T03:54:28Z"},{"alias_kind":"pith_short_12","alias_value":"HK2HUDB765Z5","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HK2HUDB765Z56IKO","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HK2HUDB7","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:HK2HUDB765Z56IKOV3SVM7AP4O","target":"record","payload":{"canonical_record":{"source":{"id":"1205.7043","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-31T17:01:23Z","cross_cats_sorted":[],"title_canon_sha256":"0d017096d5134206b7395e22b5845b5d9707db97aabcf9f35f07621fa3881507","abstract_canon_sha256":"0ea77539ad4bda793cffbce43eeebfda9ef5c71ad46df0e7583149b0052f520e"},"schema_version":"1.0"},"canonical_sha256":"3ab47a0c3ff773df214eaee5567c0fe3be836667b7cb4a22d2810dfaa503f872","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:28.040433Z","signature_b64":"oXY0PNOoYRsbyDt02wVbUWSGccbQqiwcRZi4oMsVZq4T3bQsOtL2GKJSQG1NUxr/tV7VL7JVQ4rW40ENvO7QDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ab47a0c3ff773df214eaee5567c0fe3be836667b7cb4a22d2810dfaa503f872","last_reissued_at":"2026-05-18T03:54:28.039728Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:28.039728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.7043","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:54:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"db7LhBAiDnRh2pN/8hZIdDeynnqSOR74DVDRy53TYlDJ1AIIVd3DKOfQXM0aDH4XTdv7kTS/mxWe/+GH94CwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T21:30:53.440338Z"},"content_sha256":"936264c99d9f8cfef5cf7c8f5f4c82017bec7cf7fb69de0fdc97b61a7dc22861","schema_version":"1.0","event_id":"sha256:936264c99d9f8cfef5cf7c8f5f4c82017bec7cf7fb69de0fdc97b61a7dc22861"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:HK2HUDB765Z56IKOV3SVM7AP4O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Surfaces with p_g = 0: Constructions and Moduli spaces, Burniat surfaces and deformations of automorphisms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Fabrizio Catanese (Universitaet Bayreuth, Germany)","submitted_at":"2012-05-31T17:01:23Z","abstract_excerpt":"The article is a slightly extended version of the talk, with the same title, which I gave at the Kinosaki Symposium on Algebraic Geometry in October 2011, and dealing with the classification of complex projective surfaces of general type with vanishing geometric genus, and especially with the moduli spaces of Burniat surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.7043","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:54:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pakot5ZDAD4GKVV55n4v2uPGjZbP5S0TI2rrSShx+dWL3N5cvLH4lcKYmDQAyTMZSa+mddqZckxRfUY5ZeHxDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T21:30:53.440721Z"},"content_sha256":"e30816c950dec5868482079a8eeb6df0d3e8d23c94d4bce3d54943b97f1127db","schema_version":"1.0","event_id":"sha256:e30816c950dec5868482079a8eeb6df0d3e8d23c94d4bce3d54943b97f1127db"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HK2HUDB765Z56IKOV3SVM7AP4O/bundle.json","state_url":"https://pith.science/pith/HK2HUDB765Z56IKOV3SVM7AP4O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HK2HUDB765Z56IKOV3SVM7AP4O/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-25T21:30:53Z","links":{"resolver":"https://pith.science/pith/HK2HUDB765Z56IKOV3SVM7AP4O","bundle":"https://pith.science/pith/HK2HUDB765Z56IKOV3SVM7AP4O/bundle.json","state":"https://pith.science/pith/HK2HUDB765Z56IKOV3SVM7AP4O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HK2HUDB765Z56IKOV3SVM7AP4O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HK2HUDB765Z56IKOV3SVM7AP4O","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0ea77539ad4bda793cffbce43eeebfda9ef5c71ad46df0e7583149b0052f520e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-31T17:01:23Z","title_canon_sha256":"0d017096d5134206b7395e22b5845b5d9707db97aabcf9f35f07621fa3881507"},"schema_version":"1.0","source":{"id":"1205.7043","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.7043","created_at":"2026-05-18T03:54:28Z"},{"alias_kind":"arxiv_version","alias_value":"1205.7043v1","created_at":"2026-05-18T03:54:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.7043","created_at":"2026-05-18T03:54:28Z"},{"alias_kind":"pith_short_12","alias_value":"HK2HUDB765Z5","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HK2HUDB765Z56IKO","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HK2HUDB7","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:e30816c950dec5868482079a8eeb6df0d3e8d23c94d4bce3d54943b97f1127db","target":"graph","created_at":"2026-05-18T03:54:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The article is a slightly extended version of the talk, with the same title, which I gave at the Kinosaki Symposium on Algebraic Geometry in October 2011, and dealing with the classification of complex projective surfaces of general type with vanishing geometric genus, and especially with the moduli spaces of Burniat surfaces.","authors_text":"Fabrizio Catanese (Universitaet Bayreuth, Germany)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-31T17:01:23Z","title":"Surfaces with p_g = 0: Constructions and Moduli spaces, Burniat surfaces and deformations of automorphisms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.7043","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:936264c99d9f8cfef5cf7c8f5f4c82017bec7cf7fb69de0fdc97b61a7dc22861","target":"record","created_at":"2026-05-18T03:54:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0ea77539ad4bda793cffbce43eeebfda9ef5c71ad46df0e7583149b0052f520e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-31T17:01:23Z","title_canon_sha256":"0d017096d5134206b7395e22b5845b5d9707db97aabcf9f35f07621fa3881507"},"schema_version":"1.0","source":{"id":"1205.7043","kind":"arxiv","version":1}},"canonical_sha256":"3ab47a0c3ff773df214eaee5567c0fe3be836667b7cb4a22d2810dfaa503f872","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ab47a0c3ff773df214eaee5567c0fe3be836667b7cb4a22d2810dfaa503f872","first_computed_at":"2026-05-18T03:54:28.039728Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:28.039728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oXY0PNOoYRsbyDt02wVbUWSGccbQqiwcRZi4oMsVZq4T3bQsOtL2GKJSQG1NUxr/tV7VL7JVQ4rW40ENvO7QDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:28.040433Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.7043","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:936264c99d9f8cfef5cf7c8f5f4c82017bec7cf7fb69de0fdc97b61a7dc22861","sha256:e30816c950dec5868482079a8eeb6df0d3e8d23c94d4bce3d54943b97f1127db"],"state_sha256":"3333877c744a071d117d3b6d19d89da81957386c0c867f997ed565a166d3da30"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rB3IXmBzsj2HqvZmRNvmsrSP8HcHOit/tJ8zopg1TK34+9wOBiSRma9sQCsOpbEXmvxU5JSjB4hGV9Aq/4ZjBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T21:30:53.443003Z","bundle_sha256":"9d2f2556c9f68a2e729cdb1bc4588cde13c86695e9201c7ef3b994abe7942305"}}